by
Kaufmann, Jerome; Schwitters, Karen;

Answer

The width is 8 meters and the length is 41 meters.

Work Step by Step

Since the length is stated in terms of the width, we can let w represent the width.
The length is 1 more than five times the width, or w, so the length is equal to 1 + 5w.
The formula for the perimeter of the rectangle is width + width + length + length
The perimeter of the rectangle is 98, so we set up the following equation:
w + w + 1 + 5w + 1 + 5w = 98
12w + 2 = 98
Subtract 2 to both sides.
12w = 96
Divide both sides by 12.
w = 8
Since the width is 8, the length is 1 + 5 $\times$ 8 = 41.